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Rasek [7]
3 years ago
6

What percent of 365 is 146? Also how do you get the answer thanks :)

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0
Percent literally means per one-hundred so:

365(p/100)=146  multiply both sides by 100

365p=14600 divide both sides by 365

p=40%
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Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a)
Anna35 [415]

Rolle's Theorem does not apply to the function because there are points on the interval (a,b) where f is not differentiable.

Given the function is f(x)=\sqrt{(2-x^{\frac{2}{3}})^{3}}  and the Rolle's Theorem does not apply to the function.

Rolle's theorem is used to determine if a function is continuous and also differentiable.

The condition for Rolle's theorem to be true as:

  • f(a)=f(b)
  • f(x) must be continuous in [a,b].
  • f(x) must be differentiable in (a,b).

To apply the Rolle’s Theorem we need to have function that is differentiable on the given open interval.

If we look closely at the given function we can see that the first derivative of the given function is:

\begin{aligned}f(x)&=\sqrt{(2-x^{\frac{2}{3}})^3}\\ f(x)&=(2-x^{\frac{2}{3}})^{\frac{3}{2}}\\ f'(x)&=\frac{3}{2}(2-x^{\frac{2}{3}})^{\frac{1}{2}}\cdot \frac{2}{3}\cdot (-x)^{\frac{1}{3}}\\ f'(x)&=\frac{-\sqrt{2-x^{\frac{2}{3}}}}{\sqrt[3]{x}}\end

From this point of view we can see that the given function is not defined for x=0.

Hence, all the assumptions are not satisfied we can reach a conclusion that we cannot apply the Rolle's Theorem.

Learn more about Rolle's Theorem from here brainly.com/question/12279222

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8 0
2 years ago
a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg
viva [34]

Answer:

21

Step-by-step explanation:

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3 years ago
Rename 5/6 and 14/15 using the least common denominator.
Vedmedyk [2.9K]

Answer:

25/30 and 28/30

Step-by-step explanation:

1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:

6 = 2 x 3

15 = 5 x 3

A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.

Thus 30 is the least common denominator.

2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.

So, 5/6 x 5/5 = 25/30

And 14/15 x 2/2 = 28/30

8 0
3 years ago
Help quick please!!!! I'll mark your answer as the brainliest if it's correct!
muminat

Answer:

(8,2)

Step-by-step explanation:

The solution is where the two graphs intersect.

The two graphs intersect at x=8 and y=2

(8,2)

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2 years ago
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Answer:

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Step-by-step explanation:

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